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Finding the Fourth Proportional to 406,148.69, 560,632.38 and 236,382.86

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Solution

The fourth proportional to 406,148.69, 560,632.38 and 236,382.86 is: 326,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,148.69 : 560,632.38 = 236,382.86 : x
  2. Step 2: Convert to fraction form
    406,148.69/560,632.38 = 236,382.86/x
  3. Step 3: Cross multiply
    406,148.69x = 560,632.38 × 236,382.86
  4. Step 4: Simplify right side
    406,148.69x = 132,523,885,393.01
  5. Step 5: Solve for x
    x = 132,523,885,393.01/406,148.69
  6. Step 6: Final answer
    x = 326,294.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.